break through (Noun) — A productive insight.
break through (Noun) — Making an important discovery.
break through (Noun) — A penetration of a barrier such as an enemy's defence.
break through (Verb) — Pass through (a barrier).
break through (Verb) — Penetrate. ex. "The sun broke through the clouds" ex. "The rescue team broke through the wall in the mine shaft"
break through (Verb) — Break out. ex. "The tooth broke through and had to be extracted"